{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%reload_ext autoreload\n",
    "%autoreload 2\n",
    "%matplotlib inline\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "import sys\n",
    "sys.path.append('..')\n",
    "\n",
    "from helper import nn"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(5000, 400)\n",
      "(5000,)\n"
     ]
    }
   ],
   "source": [
    "X, y = nn.load_data('ex3data1.mat')\n",
    "\n",
    "print(X.shape)\n",
    "print(y.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "***"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "this should be 10\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAGEAAABhCAYAAADGBs+jAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAJqgAJqgAJqgAJqggH8AoS1qro2ZljoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112fecc18>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pick_one = np.random.randint(0, 5000)\n",
    "nn.plot_an_image(X[pick_one, :])\n",
    "print('this should be {}'.format(y[pick_one]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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30abnpqGhAUDbVbI8wfmga53a/P9Kyp7Ol2pQf2fUGGOMMcZMMH74M8YYY4wp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\nU2mNcm/e8j9VKvekUKbRzb1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8j+r50HxwvGY++eSTaBs+fHjYa665Ztg8p1mMv16XGsCi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\nEpaWvGPuqu+//z7atO+UCimN/9lv5BXtD0s0AcC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6UdX1/8UXXwBIyh+aL4lSispmeUOl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J6RWyA5pxkd1u/v/fbbL2yulwsuuGD4VOFhkmCput448meMMcYYkyP88GeMMcYYkyNK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\nX8hsa6ltEss577b8GWOMMcYUCD/8GWOMMcYUiKq5fdX1oxkrb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      "text/plain": [
       "<matplotlib.figure.Figure at 0x11305fba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nn.plot_100_image(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python [conda env:tf]",
   "language": "python",
   "name": "conda-env-tf-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
